JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

  • question_answer
    An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is   JEE Main Online Paper (Held On 10 April 2016)

    A) \[\frac{192}{729}\]

    B) \[\frac{256}{729}\]

    C) \[\frac{240}{729}\]                                             

    D) \[\frac{496}{729}\]

    Correct Answer: B

    Solution :

    Given = p = 2q & we know that p+q = 1\[\Rightarrow \]\[P=2/3\]                 \[P=2/3\] The problem of at least 5 successes \[{{=}^{6}}{{C}_{5}}\,{{P}^{5}}\,q{{+}^{6}}{{C}_{6}}\,{{P}^{6}}\] \[=\,\,\,6\times {{\left( \frac{2}{3} \right)}^{5}}\left( \frac{1}{3} \right)+1\times {{\left( \frac{2}{3} \right)}^{6}}=\frac{25}{729}\]


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